225775800 has 144 divisors (see below), whose sum is σ = 776129640. Its totient is φ = 58786560.

The previous prime is 225775783. The next prime is 225775801. The reversal of 225775800 is 8577522.

225775800 is a `hidden beast` number, since 2 + 2 + 5 + 77 + 580 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225775801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75942 + ... + 78858.

Almost surely, 2^225775800 is an apocalyptic number.

225775800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225775800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388064820).

225775800 is an abundant number, since it is smaller than the sum of its proper divisors (550353840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225775800 is a wasteful number, since it uses less digits than its factorization.

225775800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 225775800 is about 15025.8377470276. The cubic root of 225775800 is about 608.9184454033.

The spelling of 225775800 in words is "two hundred twenty-five million, seven hundred seventy-five thousand, eight hundred".